Sack Lunches
A group of 10 students get onto a bus for a field trip and put their lunches into a cooler. Later in the day, at lunch time, the class sponsor reaches in, randomly grabs a lunch, and hands it to each student as they walk by.
Did anyone get their lunch?
Expain your reasoning ...
Hint:
Try a simplier problem to discover a pattern.
Suppose there were three students and three lunches. Generate the different possible combinations of students and lunches.
| Students | Lunch combinationss | |||||
|---|---|---|---|---|---|---|
| Student 1 | 1 | 1 | 2 | 2 | 3 | 3 |
| Student 2 | 2 | 3 | 1 | 3 | 2 | 1 |
| Student 3 | 3 | 2 | 3 | 1 | 1 | 2 |